Planar Para Algebras, Reflection Positivity
نویسندگان
چکیده
منابع مشابه
Reflection Positivity and Monotonicity
We prove general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality CD ≤ CN between Dirichlet and Neumann covariance operators on a manifold with a reflection.
متن کاملReflection Positivity for Majoranas
We establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas.
متن کاملTopological Order and Reflection Positivity
The interplay between the two fundamental concepts of topological order and reflection positivity allows one to characterize the ground states of certain many-body Hamiltonians. We define topological order in an appropriate fashion and show that certain operators have positive expectation value in all ground states. We apply our method to vortex loops in a model relevant to topological quantum ...
متن کاملSome Remarks on Reflection Positivity*)
120 Czech. J. Phys. B 29 [1979] A. Uhlmann: Some remarks on reflection positivity There was given, (c), a subspace L+ of L with RP property (~ ,0~) > 0 fora l l ~ L + . Then there appeared, (d), an isometric 1-parameter group s -~ T~, To = identity, satisfying for all s 0 T f l = T-s and, for s >-0, T~L+ _ L + . We have to have two further conditions of technical character. (e) Continuity condi...
متن کاملTotal positivity and cluster algebras
This is a brief and informal introduction to cluster algebras. It roughly follows the historical path of their discovery, made jointly with A. Zelevinsky. Total positivity serves as the main motivation. Mathematics Subject Classification (2000). Primary 13F60, Secondary 05E10, 05E15, 14M15, 15A23, 15B48, 20F55, 22E46.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2016
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-016-2779-4